Search a number
-
+
5536944480 = 2535293111279
BaseRepresentation
bin1010010100000011…
…10001000101100000
3112021212201220220210
411022001301011200
542314424210410
62313231534120
7254132152164
oct51201610540
915255656823
105536944480
112391508381
1210a638a340
136a317a812
143a7512ca4
1522616b220
hex14a071160

5536944480 has 192 divisors, whose sum is σ = 18114969600. Its totient is φ = 1419909120.

The previous prime is 5536944431. The next prime is 5536944541. The reversal of 5536944480 is 844496355.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4328481 + ... + 4329759.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 25536944480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

5536944480 is an abundant number, since it is smaller than the sum of its proper divisors (12578025120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5536944480 is a wasteful number, since it uses less digits than its factorization.

5536944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 5536944480 is about 74410.6476251887. The cubic root of 5536944480 is about 1769.1176808410.

The spelling of 5536944480 in words is "five billion, five hundred thirty-six million, nine hundred forty-four thousand, four hundred eighty".